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Genetics Question of the Day

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Thursday, September 17, 2026

A large mainland population of butterflies with an allele frequency of p=0.8p=0.8 for a wing-spot gene colonizes a new island. The founding group consists of 20 individuals from the mainland. Concurrently, 30 butterflies from a different island population, where the same allele has a frequency of p=0.3p=0.3, also arrive. Assuming these 50 butterflies form a single, randomly mating new population, what is the initial allele frequency for pp on the island?

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A large mainland population of butterflies with an allele frequency of p=0.8p=0.8 for a wing-spot gene colonizes a new island. The founding group consists of 20 individuals from the mainland. Concurrently, 30 butterflies from a different island population, where the same allele has a frequency of p=0.3p=0.3, also arrive. Assuming these 50 butterflies form a single, randomly mating new population, what is the initial allele frequency for pp on the island?

  1. 0.50 (correct answer)
  2. 0.55
  3. 0.60
  4. 0.80

Explanation: The allele frequency in an admixed population is the weighted average of the frequencies from the source populations, weighted by their proportional contribution to the new population.\n1. Source population 1: N1=20N_1 = 20, p1=0.8p_1 = 0.8.\n2. Source population 2: N2=30N_2 = 30, p2=0.3p_2 = 0.3.\n3. Total size of the new population: Ntotal=N1+N2=20+30=50N_{total} = N_1 + N_2 = 20 + 30 = 50.\n4. The new allele frequency pnewp_{new} is calculated as: pnew=(N1×p1)+(N2×p2)Ntotal=(20×0.8)+(30×0.3)50=16+950=2550=0.50p_{new} = \frac{(N_1 \times p_1) + (N_2 \times p_2)}{N_{total}} = \frac{(20 \times 0.8) + (30 \times 0.3)}{50} = \frac{16 + 9}{50} = \frac{25}{50} = 0.50.\n\nDistractor B is the unweighted, simple average of the two frequencies (0.8+0.3)/2=0.55(0.8 + 0.3)/2 = 0.55. Distractor C is an incorrect calculation. Distractor D is the allele frequency of the larger source population, ignoring the contribution of the smaller one.